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206060040 = 233251274507
BaseRepresentation
bin11000100100000…
…11101000001000
3112100201221020100
430102003220020
5410222410130
632240325400
75051324064
oct1422035010
9470657210
10206060040
11a6351a5a
1259013860
13338c9724
141d51caa4
1513154c60
hexc483a08

206060040 has 96 divisors (see below), whose sum is σ = 675118080. Its totient is φ = 54504576.

The previous prime is 206060039. The next prime is 206060053. The reversal of 206060040 is 40060602.

206060040 is a `hidden beast` number, since 2 + 0 + 60 + 600 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206059995 and 206060022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43467 + ... + 47973.

It is an arithmetic number, because the mean of its divisors is an integer number (7032480).

Almost surely, 2206060040 is an apocalyptic number.

206060040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337559040).

206060040 is an abundant number, since it is smaller than the sum of its proper divisors (469058040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206060040 is a wasteful number, since it uses less digits than its factorization.

206060040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206060040 is about 14354.7915345365. The cubic root of 206060040 is about 590.6514302441.

The spelling of 206060040 in words is "two hundred six million, sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4507 4572 5080 5715 7620 9014 9144 11430 13521 15240 18028 22535 22860 27042 36056 40563 45070 45720 54084 67605 81126 90140 108168 135210 162252 180280 202815 270420 324504 405630 540840 572389 811260 1144778 1622520 1717167 2289556 2861945 3434334 4579112 5151501 5723890 6868668 8585835 10303002 11447780 13737336 17171670 20606004 22895560 25757505 34343340 41212008 51515010 68686680 103030020 206060040